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2050263997920 = 253253145928853
BaseRepresentation
bin11101110101011101010…
…000011101110111100000
321021000002102102111122200
4131311131100131313200
5232042420040413140
64205513412533200
7301061311303035
oct35653520356740
97230072374580
102050263997920
1172056a638436
12291431321200
1311b453c07c88
147133a2a138c
15384eab1e030
hex1dd5d41dde0

2050263997920 has 144 divisors (see below), whose sum is σ = 7222220433792. Its totient is φ = 529100375040.

The previous prime is 2050263997909. The next prime is 2050263997937. The reversal of 2050263997920 is 297993620502.

2050263997920 is a `hidden beast` number, since 2 + 0 + 502 + 63 + 9 + 9 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20502639979202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22919787 + ... + 23009066.

It is an arithmetic number, because the mean of its divisors is an integer number (50154308568).

Almost surely, 22050263997920 is an apocalyptic number.

2050263997920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2050263997920 is an abundant number, since it is smaller than the sum of its proper divisors (5171956435872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2050263997920 is a wasteful number, since it uses less digits than its factorization.

2050263997920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45928905 (or 45928894 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 2050263997920 in words is "two trillion, fifty billion, two hundred sixty-three million, nine hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 45928853 91857706 137786559 183715412 229644265 275573118 367430824 413359677 459288530 551146236 688932795 734861648 826719354 918577060 1102292472 1377865590 1423794443 1469723296 1653438708 1837154120 2066798385 2204584944 2755731180 2847588886 3306877416 3674308240 4133596770 4271383329 4409169888 5511462360 5695177772 6613754832 7118972215 7348616480 8267193540 8542766658 11022924720 11390355544 12814149987 13227509664 14237944430 16534387080 17085533316 21356916645 22045849440 22780711088 25628299974 28475888860 33068774160 34171066632 42713833290 45561422176 51256599948 56951777720 64070749935 66137548320 68342133264 85427666580 102513199896 113903555440 128141499870 136684266528 170855333160 205026399792 227807110880 256282999740 341710666320 410052799584 512565999480 683421332640 1025131998960 2050263997920